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Finding the Fourth Proportional to 172,413, 258,619.56 and 54,093.60

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Solution

The fourth proportional to 172,413, 258,619.56 and 54,093.60 is: 81,140.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,413 : 258,619.56 = 54,093.60 : x
  2. Step 2: Convert to fraction form
    172,413/258,619.56 = 54,093.60/x
  3. Step 3: Cross multiply
    172,413x = 258,619.56 × 54,093.60
  4. Step 4: Simplify right side
    172,413x = 13,989,663,030.82
  5. Step 5: Solve for x
    x = 13,989,663,030.82/172,413
  6. Step 6: Final answer
    x = 81,140.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.